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10320012300 = 223521317914783
BaseRepresentation
bin10011001110001111…
…01110010000001100
3222122012220221110210
421213013232100030
5132113410343200
64424013402420
7513511441263
oct114707562014
928565827423
1010320012300
114416417a94
122000199410
13c860a4170
146dc8655da
15406021650
hex2671ee40c

10320012300 has 144 divisors (see below), whose sum is σ = 32337930240. Its totient is φ = 2525948160.

The previous prime is 10320012277. The next prime is 10320012323. The reversal of 10320012300 is 321002301.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10320012277) and next prime (10320012323).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 690709 + ... + 705491.

It is an arithmetic number, because the mean of its divisors is an integer number (224568960).

Almost surely, 210320012300 is an apocalyptic number.

10320012300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10320012300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16168965120).

10320012300 is an abundant number, since it is smaller than the sum of its proper divisors (22017917940).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10320012300 is a wasteful number, since it uses less digits than its factorization.

10320012300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14992 (or 14985 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 10320012300 its reverse (321002301), we get a palindrome (10641014601).

Subtracting from 10320012300 its reverse (321002301), we obtain a palindrome (9999009999).

It can be divided in two parts, 1032001 and 2300, that added together give a palindrome (1034301).

The spelling of 10320012300 in words is "ten billion, three hundred twenty million, twelve thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 179 195 260 300 325 358 390 537 650 716 780 895 975 1074 1300 1790 1950 2148 2327 2685 3580 3900 4475 4654 5370 6981 8950 9308 10740 11635 13425 13962 14783 17900 23270 26850 27924 29566 34905 44349 46540 53700 58175 59132 69810 73915 88698 116350 139620 147830 174525 177396 192179 221745 232700 295660 349050 369575 384358 443490 576537 698100 739150 768716 886980 960895 1108725 1153074 1478300 1921790 2217450 2306148 2646157 2882685 3843580 4434900 4804475 5292314 5765370 7938471 9608950 10584628 11530740 13230785 14413425 15876942 19217900 26461570 28826850 31753884 34400041 39692355 52923140 57653700 66153925 68800082 79384710 103200123 132307850 137600164 158769420 172000205 198461775 206400246 264615700 344000410 396923550 412800492 516000615 688000820 793847100 860001025 1032001230 1720002050 2064002460 2580003075 3440004100 5160006150 10320012300